A confectionery sells apricot muffins and banana muffins.

Apricot muffins	Banana muffins
6 for $4.70	4 for $3.90

Shannon bought an equal number of apricot muffins and banana muffins. She paid $9.20 more for the banana muffins and the apricot muffins.

1. How many muffins did she buy?
2. How much did she spend altogether?

(a)
Shannon bought an equal number of apricot muffins and banana muffins.  Make the number of apricot muffins and banana muffins the same.  LCM of 6 and 4 is 12.

Number of sets of 6 in 12
= 12 ÷ 6
= 2

Cost of 1 set of 12 apricot muffins
= 2 x 4.70
= $9.40

Number of sets of 4 in 12
= 12 ÷ 4
= 3

Cost of 1 set of 12 banana muffins
= 3 x 3.90
= $11.70

Amount that Shannon paid more for 1 set of 12 banana muffins than 1 set of 12 apricot muffins
= 11.70 - 9.40
= $2.30

Number of sets of $2.30
= 9.20 ÷ 2.30
= 4

Total number of muffins in 1 set of 12 banana muffins and 12 apricot muffins
= 2 x 12
= 24

Number of muffins that Shannon bought
= 4 x 24
= 96

(b)
Cost of muffins in 1 set of 12 banana muffins and 12 apricot muffins
= 9.40 + 11.70
= $21.10

Total amount that Shannon spent altogether
= 4 x 21.10
= $84.40

Answer(s): (a) 96 ; (b) $84.40